Ph.D. Mathematics


M.Phil. Mathematics program aims at producing graduate students in Mathematics who can contribute to the scientific, technological, and educational advancement of the country. The curriculum of M.Phil. Mathematics comprises of 8 courses. The courses can be selected from a wide range of available courses. The curriculum is designed to build the basic concepts of the students and to help them in attaining deep insight into the relevant field. As per HEC approved criteria, the Mathematics department of the Best University in Multan offers two kinds of M.Phil. Mathematics degrees are mentioned below. (a) MS/M.Phil. by course work (30 credit hours) (b) MS/M.Phil. by Thesis (24 credit hours course work + 06 credit hours thesis) Four courses of 12 credit hours are to be offered in the first semester as well as in the second semester. For this program, 8 permanent Ph.D. faculty members and 9 visiting Ph.D. faculty members are on board.


Research thesis will be got evaluated from three reputed experts in Mathematics (01 from Pakistan and 02 from foreign HEC listed countries)

Eligibility Criteria

  • Have an MS/M.Phil. (Mathematics)/Equivalent degree in 1st Division or minimum CGPA 3.00 out of 4.00
  • Have passed GRE Mathematics (International) with 60% marks or ISP admission test with 60% marks
  • Have pass an interview conducted by the Department of Mathematics

For award of Ph.D. Mathematics degree, candidates will be required to complete 18 Credit Hours of course work along with completions and successful defense of 06 Credit Hours research thesis. The minimum duration of the program will be 04 years (extendable up to 8 years subject to approval by the competent authority).

Scheme of Studies for Ph.D. Mathematics Program

Elective I
Elective II
Elective III
Elective IV
Elective V
Elective VI
Research Thesis
Elective Courses
Viscous Fluids I
Optimization Theory
Perturbation Method I
Fixed Point Theory and Applications
Numerical Solutions of Ordinary Differential Equations
Topics in Ring Theory
Numerical Linear Algebra
Approximation Theory and Application
Lattice Theory
Variational Inequalities and Applications
Integral Inequalities
Numerical Solutions of Partial Differential Equations I
Applied Statistical Learning
Newtonian Fluid Mechanics
Mathematical Finance I
Physical Turbulent Flows
Time Series Analysis and Forecasting
Linear Statistical Models
Advanced Topics in Graph Theory
Commutative Algebra I
Advanced Topology I
Algebraic Topology
Mathematical Analysis
General Relativity
Probability Models and Application
Numerical Optimization
Introductory Cryptography
Fuzzy Set Theory
Finite Fields
Fuzzy Logic and its Applications
Fuzzy Probability and Statistics
Parallel Solutions of Partial Differential Equations
Geometric Function Theory
MHD and Porous Media
Advanced Modern Algebra with Applications
Theory of Groups
Representation Theory of Finite Groups
Classical Theory of Fields
Simple Linear Regression Model
Momentum and Thermal Boundary Layer Theory
Stochastic Processes
Differential Subordinations and Applications
Convolutions in Geometric function Theory
Semigroup Theory
Further Algebraic Geometry
Lattice Boltzmann Method
Financial Mathematics
Mathematical Techniques for Boundary Value Problems
Heat and Mass Transfer
Relativistic Theory of Black Holes
Theory of Abel Grassmann’s Groupoids
Symmetry Methods in Differential Equations
Elective Courses
General Linear Model
Rings and Modules
Continuum Mechanics
Numerical Simulation of Reactive Flows
BCI Algebra
Direct and Inverse Problems in Wave Propagation
Topics in Mathematical Statistics
Commutative Algebra and Algebraic Geometry
Rough Set Theory and Its Applications
Hilbert Space Methods
Fuzzy Graphs and Hypergraphs
Topics in Numerical Analysis I
Topics in Measure Theory
Lie Groups
Fractional Calculus
Advanced Partial Differential Equations
Fluid and Thermodynamics
Magneto Hydrodynamics
Group Theoretical Methods
Fractional Differential Equations
Fuzzy Group Theory
Multivariate Analysis in Mathematics
Advanced Algebra
Advanced Topology II
Non-Newtonian Fluid Mechanics
Advanced Mathematical Analysis
Advanced Linear Algebra
Advanced Integral Equations
Advanced Graph Theory
Advanced Analytic Dynamics
Advanced Convex Analysis
Theory of Differential Equations
BCK Algebra Theory
Advanced Numerical Analysis
Theory of Spline Functions
Research Methodology
Viscous Fluid II
Representation Theory
Advanced Measure Theory
Advanced Functional Analysis
Complex Analysis of Several Variables
Spectral Methods in Fluid Dynamics
Mathematical Finance II
Fuzzy Analysis
Spectral and Fractional Graph Theory
Advanced Topics in Graph Valuation Theory
Complexity Theory
Turbulence Modeling
Computer Aided Geometric Design
Advanced Differential Equations
Commutative Algebra II
Perturbation Methods II
Boundary Layer Flows
Homological Algebra
Field Extension and Galois Theory
Numerical Solutions of Partial Differential Equations II
General Relativity
Multiple Linear Regression Models
Theory of Abel Grassmann’s Groupoid
Topics in Numerical Analysis II
Logical Reasoning and Research Methods
Topological Algebras
Near Rings-I
Advanced Ring Theory